Nonlinear elliptic partial differential equations : an introduction /

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Bibliographic Details
Author / Creator:Le Dret, H., author.
Uniform title:Équations aux dérivées partielles elliptiques non linéaires. English
Imprint:Cham : Springer, 2018.
Description:1 online resource (x, 253 pages) : illustrations (some color)
Language:English
Series:Universitext, 0172-5939
Universitext,
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11655260
Hidden Bibliographic Details
ISBN:9783319783901
3319783904
9783319783895
3319783890
Digital file characteristics:text file PDF
Notes:Includes bibliographical references and index.
Online resource; title from PDF title page (SpringerLink, viewed May 31, 2018).
Summary:This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations. After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite dimensional fixed point methods, the Galerkin method, the maximum principle, elliptic regularity, and the calculus of variations. Aimed at graduate students and researchers, this textbook contains numerous examples and exercises and provides several comments and suggestions for further study.
Other form:Printed edition: 9783319783895
Standard no.:10.1007/978-3-319-78390-1